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Simplifying 3(2x + 3) + -5(7 + -4x) + -2(5x + 4) = -2 Reorder the terms: 3(3 + 2x) + -5(7 + -4x) + -2(5x + 4) = -2 (3 * 3 + 2x * 3) + -5(7 + -4x) + -2(5x + 4) = -2 (9 + 6x) + -5(7 + -4x) + -2(5x + 4) = -2 9 + 6x + (7 * -5 + -4x * -5) + -2(5x + 4) = -2 9 + 6x + (-35 + 20x) + -2(5x + 4) = -2 Reorder the terms: 9 + 6x + -35 + 20x + -2(4 + 5x) = -2 9 + 6x + -35 + 20x + (4 * -2 + 5x * -2) = -2 9 + 6x + -35 + 20x + (-8 + -10x) = -2 Reorder the terms: 9 + -35 + -8 + 6x + 20x + -10x = -2 Combine like terms: 9 + -35 = -26 -26 + -8 + 6x + 20x + -10x = -2 Combine like terms: -26 + -8 = -34 -34 + 6x + 20x + -10x = -2 Combine like terms: 6x + 20x = 26x -34 + 26x + -10x = -2 Combine like terms: 26x + -10x = 16x -34 + 16x = -2 Solving -34 + 16x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 16x = -2 + 34 Combine like terms: -34 + 34 = 0 0 + 16x = -2 + 34 16x = -2 + 34 Combine like terms: -2 + 34 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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